| Autor: |
Al Tahan, M., Davvaz, B., Mahboob, A., Khan, N. M. |
| Předmět: |
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| Zdroj: |
New Mathematics & Natural Computation; Jul2023, Vol. 19 Issue 2, p489-502, 14p |
| Abstrakt: |
The aim of this paper is to generalize the results related to fuzzy filters of ordered semigroups. In this regard, the concept of fuzzy (m , n) -filters of ordered semigroups is initiated, nontrivial examples are presented, and its properties are investigated. It is known that a fuzzy set of an ordered semigroup is a fuzzy filter if and only its complement is a fuzzy prime ideal. As a generalization of the latter result, it is proved that a fuzzy set of an ordered semigroup is a fuzzy (m , n) -filter if and only if its complement is a prime generalized fuzzy (m , n) -ideal. Furthermore, it is shown that in an (m , n) -regular semigroup, fuzzy (m , n) -filters and fuzzy bi-filters coincide. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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